51948756 has 48 divisors (see below), whose sum is σ = 135703680. Its totient is φ = 17184960.

The previous prime is 51948749. The next prime is 51948761. The reversal of 51948756 is 65784915.

51948756 is a `hidden beast` number, since 519 + 4 + 87 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13041 + ... + 16551.

It is an arithmetic number, because the mean of its divisors is an integer number (2827160).

Almost surely, 2^51948756 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51948756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67851840).

51948756 is an abundant number, since it is smaller than the sum of its proper divisors (83754924).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51948756 is a wasteful number, since it uses less digits than its factorization.

51948756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3661 (or 3653 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 51948756 is about 7207.5485430207. The cubic root of 51948756 is about 373.1284671782.

The spelling of 51948756 in words is "fifty-one million, nine hundred forty-eight thousand, seven hundred fifty-six".